1
GATE ECE 2011
MCQ (Single Correct Answer)
+2
-0.6
Three friends, R, S and T shared toffee from a bowl. R took 1/3rd of the toffees, but returned four to the bowl. S took 1/4rd of what was left but returned three toffees to the bowl. T took half of the remainder but returned two back into the bowl. If the bowl had 17 toffees left, how many toffees-were originally there in the bowl?
A
38
B
31
C
48
D
41
2
GATE ECE 2011
MCQ (Single Correct Answer)
+2
-0.6
Given that f(y) = |y| / y, and q is any non-zero real number, the value of | f(q) - f(-q) | is
A
$$0$$
B
-1
C
1
D
2
3
GATE ECE 2011
MCQ (Single Correct Answer)
+2
-0.6
The horse has played a little known but very important role in the field of medicine. Horses were injected with toxins of diseases until their blood built up immunities. Then a serum was made from their blood. Serums to fight with diphtheria and tetanus were developed this way. It can be inferred from the passage that horses were
A
given immunity to diseases
B
generally quite immune to diseases
C
given medicines to fight toxins
D
given diphtheria and tetanus serums
4
GATE ECE 2011
MCQ (Single Correct Answer)
+2
-0.6
The sum of n terms of the series 4 + 44 + 444 +.... is
A
$$\left(4/81\right)\;\left[10^{\mathrm n+1}\;-\;9\mathrm n\;-\;1\right]$$
B
$$\left(4/81\right)\;\left[10^{\mathrm n-1}\;-\;9\mathrm n\;-\;1\right]$$
C
$$\left(4/81\right)\;\left[10^{\mathrm n+1}\;-\;9\mathrm n\;-\;10\right]$$
D
$$\left(4/81\right)\;\left[10^\mathrm n\;-\;9\mathrm n\;-\;10\right]$$
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